The Lagrangian points (pronounced or ); (also Lagrange point, L-point, or
libration point), are the five positions in an
orbital configuration where a small object affected only by
gravity can theoretically be stationary relative to two larger objects (such as a
satellite with respect to the
Earth and
Moon). The Lagrange points mark positions where the combined gravitational pull of the two large masses provides precisely the
centripetal force required to rotate with them. They are analogous to
geosynchronous orbits in that they allow an object to be in a "fixed" position in space rather than an orbit in which its relative position changes continuously.
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Positions exist, in the orbital plane of a two body system, in which particles, whose masses are negligible (by comparison with those of the two bodies) can be in equilibrium. There are five Lagrangian points in a two body system but only two of these are stable to anything but large perturbations. These two points are at 60° in the same orbit as the smaller of the two bodies. See illustration.
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